**Answer:**

**Step-by-step explanation:**

Assuming Roberto wants to completely fill each page that he puts cards in, this function describes the number of 2-card pages, a, and 3-card pages, b.

2a + 3b =18

Ricardo can fill up 9 2-card pages, and 6 3-card pages.

a=9, b=0

We must add 2 3-card pages at a time,so that we have an even number for the 2-card pages:

a=6, b=2

Add 2 to b once more:

a=3, b=4

One more time:

a=0, b=6:

Thus, Ricardo can display his figures in the following page combinations:

a=9, b=0

a=6, b=2

a=3, b=4

a=0, b=6

Remember that a= number of 2-card pages and b=number of 3-card pages

There are 4 different ways that Ricardo can arrange his figures in terms of what kind of pages he uses.

This is a simple conversion from metres to kilo metres problem in which we should know how much metres is one kilo metre or how much kilo meters is one metres.

So in order to convert from metres to k m we just have to divide by 1000 as 1 km is equal to 1000 meters. Similarly for the other way round we have to multiply by 1000 as 1 metre is 0.001 km.

SO if Mary swims 850 metres each day then she swims around 0.85 km every day.

**Answer:**

**Step-by-step explanation:**

We can use the relationship between a radius and a diameter to find which circle has a greater area without calculating it.

We know that the **diameter is twice the size of the radius**.

- The diameter is the distance across the circle at the center
- The radius is the distance from the center of a circle to the edge

Using this, we can find the radius of a circle that has a diameter of 6.

**Since the diameter is twice the radius, the radius will be half the diameter**.

Since the diameter is 6, the radius is 3.

Circle areas can be calculated with the following formula, where r is the radius:

Using this, we know that **a higher value of r will get us a greater area.** Therefore, we know that the greater value (3 or 4) will get us the greater area.

Since 4 is greater than 3, we know that the circle with the radius of 4 (Ava’s) will have a greater area.

Hope this helped!

The interval notation is

**Explanation:**

The **inequality **is

Let us complete the square, we get,

Simplifying, we have,

Adding both sides of the equation by 11, we get,

Since, we know that for , if n is even then

Thus, writing the above expression in this form, we get,

Also, if then and

Then ,we have,

and

Solving the inequalities, we get,

and

Merging the intervals, we have,

Hence, writing the solution in interval notation, we have,

Therefore, the **answer** is